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      Formal engineering of the bitonic sort using PVS

      proceedings-article

      2nd Irish Workshop on Formal Methods (FM)

      Irish Workshop on Formal Methods

      2-3 July 1998

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            Abstract

            In this paper, we present a proof that the bitonic sort is sound using PVS, a powerful specification and verification environment. First, we briefly introduce this well-known parallel sort. It is based on bitonic lists whose relevant properties can be proven with PVS. To achieve our goal of constructing the proof from scratch, we start by studying some examples of this sort. Then we try to prove properties of this algorithm. Failure in the proof of particular lemmas provides us with information which helps to correct these lemmas. To complete this proof, we start with general cases, continue by examining each of the exception cases, and finish when all cases have been considered. Then we can construct the specification of the bitonic sort which can easily be translated into a traditional imperative language.

            Content

            Author and article information

            Contributors
            Conference
            July 1998
            July 1998
            : 1-19
            Affiliations
            [0001]LORIA - UMR n°7503 - CNRS, Université Henri Poincaré

            BP 239, 54506 Vandœuvre-lés-Nancy, France
            Article
            10.14236/ewic/FM1998.2
            4e914b25-c71e-486e-a814-d99dae68eef8
            © Raphaël Couturier. Published by BCS Learning and Development Ltd. 2nd Irish Workshop on Formal Methods, Cork, Ireland

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            2nd Irish Workshop on Formal Methods
            FM
            2
            Cork, Ireland
            2-3 July 1998
            Electronic Workshops in Computing (eWiC)
            Irish Workshop on Formal Methods
            Product
            Product Information: 1477-9358BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Categories
            Electronic Workshops in Computing

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